Interior and Exterior Angles of a Polygon

Front

What is the formula to calculate the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon with n sides is given by the formula: (n - 2) × 180 degrees.

Front

How do you find the measure of one interior angle of a regular polygon?

Back

To find the measure of one interior angle of a regular polygon, use the formula: ((n - 2) × 180) / n, where n is the number of sides.

Front

What is the measure of one interior angle of a regular decagon (10 sides)?

Back

144 degrees.

Front

What is the sum of the exterior angles of any polygon?

Back

The sum of the exterior angles of any polygon is always 360 degrees.

Front

What is the sum of the interior angles of a hexagon (6 sides)?

Back

720 degrees.

Front

How many sides does a polygon have if the sum of its interior angles is 3240 degrees?

Back

20 sides.

Front

What is the measure of one interior angle of a regular 32-gon?

Back

168.75 degrees.

Front

What is the relationship between interior and exterior angles of a polygon?

Back

The interior angle and its corresponding exterior angle are supplementary, meaning they add up to 180 degrees.

Front

How do you calculate the measure of an exterior angle of a regular polygon?

Back

The measure of one exterior angle of a regular polygon can be calculated using the formula: 360 / n, where n is the number of sides.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.